Predator-Prey Simulation with
First Order Implicit-Symplectic Scheme
by Fasma Diele (firstname.lastname@example.org) and Marcus R. Garvie (email@example.com)
IMSP1 is a collection of MATLAB routines using the finite
element / difference method for the dynamics of predator-prey interactions in
1 and 2 spatial dimension and time with the IMSP first order scheme (part of PRED_PREY_IMSP).
The MATLAB code is mostly self explanatory,
with the names of variables and parameters corresponding to the symbols used in
the finite element / difference methods described in the papers referenced
below. Copies of the MATLAB codes are freely available via the link below.
- Garvie M.R. , "Finite difference schemes for
reaction-diffusion equations modeling predator-prey interactions in
MATLAB," Bulletin of Mathematical Biology (2007) 69:931-956
- Garvie M.R., Burkardt J., Morgan J. "Simple Finite Element Methods
for Approximating Predator-Prey Dynamics in Two Dimensions using
MATLAB," Bulletin of Mathematical Biology (2015) 77:548-578
- Diele, F., Garvie M.R., Trenchea, C.
" Numerical analysis of a first-order in time implicit-symplectic scheme for predator-prey systems," submitted 2016
Download codes for IMSP1
Files you may copy include:
- fd1dKin2_IMSP1.m MATLAB code
for IMSP first order scheme applied to Kinetics (ii) in 1D.
- fe2d_n_fast_IMSP1.m MATLAB code
for IMSP first order scheme applied to Kinetics (i)
- fe2d_n_fast_IMSP1_test.m MATLAB code for running IMSP
first order scheme solving the two dimensional example in Section 4.2. of
PRED_PREY_IMSP is distributed under the GNU GPL; see the License and Copyright
notice for more information.
Last revised on June 19, 2016.